13035893040 has 120 divisors (see below), whose sum is σ = 43805165040. Its totient is φ = 3474150912.

The previous prime is 13035893023. The next prime is 13035893071. The reversal of 13035893040 is 4039853031.

13035893040 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 589 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13035892986 and 13035893004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1473751 + ... + 1482569.

It is an arithmetic number, because the mean of its divisors is an integer number (365043042).

Almost surely, 2^13035893040 is an apocalyptic number.

13035893040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13035893040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21902582520).

13035893040 is an abundant number, since it is smaller than the sum of its proper divisors (30769272000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13035893040 is a wasteful number, since it uses less digits than its factorization.

13035893040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10891 (or 10882 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13035893040 in words is "thirteen billion, thirty-five million, eight hundred ninety-three thousand, forty".